Question

what are the real or imaginary solutions of the polynomial equation x4 – 41x2 = –400

Answer 1

let y = x^2

y^2 - 41y = -400
y^2 - 41y + 420.25 = -400 + 420.25
(y - 20.5)^2 = 20.25
y - 20.5 = ±sqrt(20.25)
y =±sqrt(20.25) + 20.5

substitute x^2 back in:

x^2 = ±sqrt(20.25) + 20.5
x = ±sqrt(±sqrt(20.25) + 20.5)

Believe it or not, that leads to four answers

Answer 2

can you help me with the rest of my math ? im extremely far behind.

Answer 3

I do not have time to do that, sorry.

Answer 4

okayy well ... explain this one too me..

Answer 5

Basically, I completed the square to solve it.